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Difficult Integral Involving the Dirac Delta Function

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#integration #laplace-transform #dirac-delta #hyperbolic-functions
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Equivalence of two formulations for an elliptic problem with Dirac source

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#partial-differential-equations #sobolev-spaces #dirac-delta #laplacian
169
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Use Laplace transforms to find the solutions of $y''(t) +9y(t) = 3\delta_{2\pi/3} +9H_{\pi}(t)$

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#ordinary-differential-equations #laplace-transform #dirac-delta
410
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Linear combination of Dirac delta distribution and its derivatives

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#real-analysis #distribution-theory #harmonic-analysis #dirac-delta
62
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Delta function of two variables.

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#dirac-delta
93
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How to prove scaled delta function relation mathematically?

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#dirac-delta
109
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Integral of counting measure

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#measure-theory #dirac-delta #geometric-measure-theory
356
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How do I correctly report whether a unit step function is "increasing" or "decreasing"?

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#limits #dirac-delta #continuity #step-function
60
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Question about nomenclature of Dirac delta function as a measure

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#measure-theory #lebesgue-integral #dirac-delta
164
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Extension of the Dirac delta function

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#real-analysis #calculus #distribution-theory #dirac-delta
71
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Find all distributions solving a differential equation

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#distribution-theory #dirac-delta
113
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Dirac delta inner product preserved under the Fourier transform

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#fourier-transform #dirac-delta
1.6k
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Conjugate of Dirac delta

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#fourier-transform #dirac-delta
651
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Proving that the sum of delta functions is a measure on the Borel $\sigma$-algebra

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#measure-theory #dirac-delta #measurable-functions
99
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What gets broken if we assign a value to the square of Delta function?

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#distribution-theory #dirac-delta

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